Subgroups — C₁₃₉×#13040 #48007636

Order 35584.

508 conjugacy classes of subgroups.

The subgroup lattice has 356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#509×C₁₃₉	C₂	1	1	yes	maximal, characteristic
2	C₂×#444×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#361×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#360×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#1972×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#1383×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#1375×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#135×C₁₃₉	C₂²	1	1	yes	characteristic
9	C₂²×D₈×C₁₃₉	C₂²	1	1	yes	characteristic
10	C₂×#131×C₁₃₉	—	2	1	no	—
11	#509×C₁₃₉	—	2	2	no	—
12	#509×C₁₃₉	—	2	2	no	—
13	C₂×SD₃₂×C₁₃₉	C₄	1	2	yes	complemented
14	C₂×D₁₆×C₁₃₉	C₄	1	2	yes	complemented
15	C₂×M₃₂×C₁₃₉	C₂²	1	1	yes	characteristic
16	C₂×M₃₂×C₁₃₉	C₂²	1	1	yes	characteristic
17	#444×C₁₃₉	—	2	2	no	—
18	#444×C₁₃₉	—	2	2	no	—
19	C₂×#108×C₁₃₉	C₂²	1	1	yes	characteristic
20	C₂×#106×C₁₃₉	C₂²	1	1	yes	characteristic
21	C₂×#104×C₁₃₉	—	2	1	no	—
22	C₂×#102×C₁₃₉	—	2	1	no	—
23	C₂×#97×C₁₃₉	C₂²	1	1	yes	characteristic
24	#390×C₁₃₉	—	2	1	no	—
25	#361×C₁₃₉	—	2	2	no	—
26	#360×C₁₃₉	—	2	2	no	—
27	C₂×#41×C₁₃₉	—	2	1	no	—
28	C₂²×D₄×C₁₃₉	—	2	1	no	—
29	#135×C₁₃₉	—	2	1	no	—
30	#135×C₁₃₉	—	2	1	no	—
31	#135×C₁₃₉	D₄	1	2	yes	—
32	#135×C₁₃₉	D₄	1	2	yes	—
33	C₂×Q₁₆×C₁₃₉	C₂×C₄	1	1	yes	characteristic
34	C₂×SD₁₆×C₁₃₉	—	2	1	no	—
35	C₂×D₈×C₁₃₉	—	2	1	no	—
36	C₂×D₈×C₁₃₉	—	2	1	no	—
37	C₂×D₈×C₁₃₉	—	2	1	no	—
38	C₂×D₈×C₁₃₉	—	2	1	no	—
39	C₂×D₈×C₁₃₉	—	2	1	no	—
40	C₂×D₈×C₁₃₉	C₂×C₄	1	2	yes	—
41	C₂×D₈×C₁₃₉	C₂×C₄	1	1	yes	characteristic
42	#131×C₁₃₉	—	2	4	no	—
43	#131×C₁₃₉	—	4	2	no	—
44	C₂×M₁₆×C₁₃₉	—	2	1	no	—
45	C₂×M₁₆×C₁₃₉	—	4	1	no	—
46	C₂²×C₈×C₁₃₉	—	4	1	no	—
47	C₂²×C₈×C₁₃₉	D₄	1	1	yes	characteristic
48	C₂²×C₈×C₁₃₉	C₂³	1	1	yes	characteristic
49	C₂×C₄⋊C₄×C₁₃₉	—	2	1	no	—
50	C₂×C₂²⋊C₄×C₁₃₉	—	4	2	no	—
51	C₂×C₄²×C₁₃₉	D₄	1	1	yes	characteristic
52	SD₃₂×C₁₃₉	—	2	4	no	—
53	D₁₆×C₁₃₉	—	2	4	no	—
54	M₃₂×C₁₃₉	—	2	1	no	—
55	M₃₂×C₁₃₉	—	2	1	no	—
56	M₃₂×C₁₃₉	—	2	1	no	—
57	M₃₂×C₁₃₉	—	2	1	no	—
58	C₂×C₁₆×C₁₃₉	—	2	1	no	—
59	C₂×C₁₆×C₁₃₉	C₂×C₄	1	2	yes	—
60	#108×C₁₃₉	—	2	1	no	—
61	#108×C₁₃₉	D₄	1	2	yes	—
62	#106×C₁₃₉	—	2	1	no	—
63	#106×C₁₃₉	—	2	1	no	—
64	#104×C₁₃₉	—	2	4	no	—
65	#102×C₁₃₉	—	4	2	no	—
66	#97×C₁₃₉	—	2	1	no	—
67	#97×C₁₃₉	—	2	1	no	—
68	C₂⁴×C₁₃₉	—	4	1	no	—
69	#41×C₁₃₉	—	2	2	no	—
70	#41×C₁₃₉	—	2	2	no	—
71	#41×C₁₃₉	—	4	1	no	—
72	#41×C₁₃₉	—	4	1	no	—
73	C₂×Q₈×C₁₃₉	—	2	1	no	—
74	C₂×D₄×C₁₃₉	—	2	1	no	—
75	C₂×D₄×C₁₃₉	—	2	2	no	—
76	C₂×D₄×C₁₃₉	—	4	1	no	—
77	C₂×D₄×C₁₃₉	—	4	1	no	—
78	C₂×D₄×C₁₃₉	—	4	1	no	—
79	C₂×D₄×C₁₃₉	—	4	1	no	—
80	C₂×D₄×C₁₃₉	—	4	1	no	—
81	C₂×D₄×C₁₃₉	—	4	1	no	—
82	C₂²×C₄×C₁₃₉	—	2	1	no	—
83	C₂²×C₄×C₁₃₉	—	4	1	no	—
84	C₂²×C₄×C₁₃₉	—	4	1	no	—
85	C₂²×C₄×C₁₃₉	C₂×D₄	1	1	yes	characteristic
86	Q₁₆×C₁₃₉	—	2	1	no	—
87	Q₁₆×C₁₃₉	C₂²⋊C₄	1	2	yes	complemented
88	SD₁₆×C₁₃₉	—	2	2	no	—
89	SD₁₆×C₁₃₉	—	2	2	no	—
90	D₈×C₁₃₉	—	2	2	no	—
91	D₈×C₁₃₉	—	2	1	no	—
92	D₈×C₁₃₉	—	2	2	no	—
93	D₈×C₁₃₉	—	4	1	no	—
94	D₈×C₁₃₉	—	4	1	no	—
95	D₈×C₁₃₉	C₂²⋊C₄	1	2	yes	complemented
96	M₁₆×C₁₃₉	—	2	2	no	—
97	M₁₆×C₁₃₉	—	4	4	no	—
98	M₁₆×C₁₃₉	—	4	1	no	—
99	C₂×C₈×C₁₃₉	—	2	1	no	—
100	C₂×C₈×C₁₃₉	—	2	1	no	—
101	C₂×C₈×C₁₃₉	—	4	4	no	—
102	C₂×C₈×C₁₃₉	—	4	1	no	—
103	C₂×C₈×C₁₃₉	D₈	1	2	yes	—
104	C₂×C₈×C₁₃₉	C₂²×C₄	1	1	yes	characteristic
105	C₂×C₈×C₁₃₉	C₂×D₄	1	1	yes	characteristic
106	C₂×C₈×C₁₃₉	C₂×D₄	1	1	yes	characteristic
107	C₂×C₈×C₁₃₉	C₂×D₄	1	1	yes	characteristic
108	C₂×C₈×C₁₃₉	#41	1	1	yes	characteristic
109	C₂×C₈×C₁₃₉	#41	1	1	yes	characteristic
110	C₄⋊C₄×C₁₃₉	—	4	1	no	—
111	C₄⋊C₄×C₁₃₉	—	4	1	no	—
112	C₂²⋊C₄×C₁₃₉	—	8	4	no	—
113	C₄²×C₁₃₉	—	2	1	no	—
114	C₄²×C₁₃₉	—	2	1	no	—
115	C₁₆×C₁₃₉	—	2	2	no	—
116	C₁₆×C₁₃₉	—	4	1	no	—
117	C₂³×C₁₃₉	—	4	1	no	—
118	C₂³×C₁₃₉	—	4	2	no	—
119	C₂³×C₁₃₉	—	8	2	no	—
120	C₂³×C₁₃₉	—	8	2	no	—
121	C₂³×C₁₃₉	—	8	1	no	—
122	C₂³×C₁₃₉	—	8	1	no	—
123	C₂³×C₁₃₉	AGL(1,ℤ/8)	1	1	yes	characteristic
124	Q₈×C₁₃₉	—	2	2	no	—
125	Q₈×C₁₃₉	—	4	1	no	—
126	D₄×C₁₃₉	—	2	2	no	—
127	D₄×C₁₃₉	—	4	2	no	—
128	D₄×C₁₃₉	—	4	2	no	—
129	D₄×C₁₃₉	—	4	2	no	—
130	D₄×C₁₃₉	—	4	1	no	—
131	D₄×C₁₃₉	—	4	2	no	—
132	D₄×C₁₃₉	—	8	1	no	—
133	D₄×C₁₃₉	—	8	1	no	—
134	C₂×C₄×C₁₃₉	—	4	1	no	—
135	C₂×C₄×C₁₃₉	—	4	2	no	—
136	C₂×C₄×C₁₃₉	—	4	2	no	—
137	C₂×C₄×C₁₃₉	—	4	2	no	—
138	C₂×C₄×C₁₃₉	—	4	1	no	—
139	C₂×C₄×C₁₃₉	—	8	2	no	—
140	C₂×C₄×C₁₃₉	—	8	1	no	—
141	C₂×C₄×C₁₃₉	C₄×D₄	1	1	yes	characteristic
142	C₂×C₄×C₁₃₉	#120	1	1	yes	characteristic
143	C₂×C₄×C₁₃₉	#121	1	1	yes	characteristic
144	C₂×C₄×C₁₃₉	C₂×D₈	1	1	yes	characteristic
145	C₂×C₄×C₁₃₉	#135	1	1	yes	characteristic
146	C₂×C₄×C₁₃₉	AGL(1,ℤ/8)	1	1	yes	characteristic
147	C₈×C₁₃₉	—	2	2	no	—
148	C₈×C₁₃₉	—	4	2	no	—
149	C₈×C₁₃₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
150	C₈×C₁₃₉	C₄×D₄	1	1	yes	characteristic
151	C₈×C₁₃₉	#121	1	1	yes	characteristic
152	C₈×C₁₃₉	#123	1	1	yes	characteristic
153	C₂²×C₁₃₉	—	2	2	no	—
154	C₂²×C₁₃₉	—	4	2	no	—
155	C₂²×C₁₃₉	—	8	2	no	—
156	C₂²×C₁₃₉	—	8	2	no	—
157	C₂²×C₁₃₉	—	8	4	no	—
158	C₂²×C₁₃₉	—	16	2	no	—
159	C₂²×C₁₃₉	—	16	1	no	—
160	C₂²×C₁₃₉	—	16	1	no	—
161	C₂²×C₁₃₉	#442	1	1	yes	characteristic
162	C₂²×C₁₃₉	#449	1	1	yes	characteristic
163	C₂²×C₁₃₉	#459	1	1	yes	characteristic
164	C₄×C₁₃₉	—	4	2	no	—
165	C₄×C₁₃₉	—	8	1	no	—
166	C₄×C₁₃₉	—	16	1	no	—
167	C₄×C₁₃₉	#386	1	1	yes	characteristic
168	C₄×C₁₃₉	C₄×D₈	1	1	yes	characteristic
169	C₄×C₁₃₉	#447	1	1	yes	characteristic
170	C₄×C₁₃₉	#463	1	1	yes	characteristic
171	C₂×C₁₃₉	—	2	1	no	—
172	C₂×C₁₃₉	—	2	1	no	—
173	C₂×C₁₃₉	—	8	2	no	—
174	C₂×C₁₃₉	—	16	2	no	—
175	C₂×C₁₃₉	#1879	1	1	yes	characteristic
176	C₂×C₁₃₉	AGL(1,ℤ/16)	1	2	yes	—
177	#13040	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
178	C₁₃₉	#13040	1	1	yes	characteristic, direct product factor, Sylow
179	C₂×#509	C₂×C₁₃₉	1	1	yes	characteristic
180	C₂×#444	C₂×C₁₃₉	1	1	yes	characteristic, complemented
181	C₂×#361	C₂×C₁₃₉	1	1	yes	characteristic, complemented
182	C₂×#360	C₂×C₁₃₉	1	1	yes	characteristic, complemented
183	#1972	C₂×C₁₃₉	1	1	yes	characteristic, complemented
184	#1383	C₂×C₁₃₉	1	1	yes	characteristic, complemented
185	#1375	C₂×C₁₃₉	1	1	yes	characteristic, complemented
186	C₂×#135	C₂²×C₁₃₉	1	1	yes	characteristic
187	C₂²×D₈	C₂²×C₁₃₉	1	1	yes	characteristic
188	C₂×#131	—	2	1	no	—
189	#509	—	2	2	no	—
190	#509	—	2	2	no	—
191	C₂×SD₃₂	C₄×C₁₃₉	1	2	yes	complemented
192	C₂×D₁₆	C₄×C₁₃₉	1	2	yes	complemented
193	C₂×M₃₂	C₂²×C₁₃₉	1	1	yes	characteristic
194	C₂×M₃₂	C₂²×C₁₃₉	1	1	yes	characteristic
195	#444	—	2	2	no	—
196	#444	—	2	2	no	—
197	C₂×#108	C₂²×C₁₃₉	1	1	yes	characteristic
198	C₂×#106	C₂²×C₁₃₉	1	1	yes	characteristic
199	C₂×#104	—	2	1	no	—
200	C₂×#102	—	2	1	no	—
201	C₂×#97	C₂²×C₁₃₉	1	1	yes	characteristic
202	#390	—	2	1	no	—
203	#361	—	2	2	no	—
204	#360	—	2	2	no	—
205	C₂×#41	—	2	1	no	—
206	C₂²×D₄	—	2	1	no	—
207	#135	—	2	1	no	—
208	#135	—	2	1	no	—
209	#135	D₄×C₁₃₉	1	2	yes	—
210	#135	D₄×C₁₃₉	1	2	yes	—
211	C₂×Q₁₆	C₂×C₄×C₁₃₉	1	1	yes	characteristic
212	C₂×SD₁₆	—	2	1	no	—
213	C₂×D₈	—	2	1	no	—
214	C₂×D₈	—	2	1	no	—
215	C₂×D₈	—	2	1	no	—
216	C₂×D₈	—	2	1	no	—
217	C₂×D₈	—	2	1	no	—
218	C₂×D₈	C₂×C₄×C₁₃₉	1	2	yes	—
219	C₂×D₈	C₂×C₄×C₁₃₉	1	1	yes	characteristic
220	#131	—	2	4	no	—
221	#131	—	4	2	no	—
222	C₂×M₁₆	—	2	1	no	—
223	C₂×M₁₆	—	4	1	no	—
224	C₂²×C₈	—	4	1	no	—
225	C₂²×C₈	D₄×C₁₃₉	1	1	yes	characteristic
226	C₂²×C₈	C₂³×C₁₃₉	1	1	yes	characteristic
227	C₂×C₄⋊C₄	—	2	1	no	—
228	C₂×C₂²⋊C₄	—	4	2	no	—
229	C₂×C₄²	D₄×C₁₃₉	1	1	yes	characteristic
230	SD₃₂	—	2	4	no	—
231	D₁₆	—	2	4	no	—
232	M₃₂	—	2	1	no	—
233	M₃₂	—	2	1	no	—
234	M₃₂	—	2	1	no	—
235	M₃₂	—	2	1	no	—
236	C₂×C₁₆	—	2	1	no	—
237	C₂×C₁₆	C₂×C₄×C₁₃₉	1	2	yes	—
238	#108	—	2	1	no	—
239	#108	D₄×C₁₃₉	1	2	yes	—
240	#106	—	2	1	no	—
241	#106	—	2	1	no	—
242	#104	—	2	4	no	—
243	#102	—	4	2	no	—
244	#97	—	2	1	no	—
245	#97	—	2	1	no	—
246	C₂⁴	—	4	1	no	—
247	#41	—	2	2	no	—
248	#41	—	2	2	no	—
249	#41	—	4	1	no	—
250	#41	—	4	1	no	—
251	C₂×Q₈	—	2	1	no	—
252	C₂×D₄	—	2	1	no	—
253	C₂×D₄	—	2	2	no	—
254	C₂×D₄	—	4	1	no	—
255	C₂×D₄	—	4	1	no	—
256	C₂×D₄	—	4	1	no	—
257	C₂×D₄	—	4	1	no	—
258	C₂×D₄	—	4	1	no	—
259	C₂×D₄	—	4	1	no	—
260	C₂²×C₄	—	2	1	no	—
261	C₂²×C₄	—	4	1	no	—
262	C₂²×C₄	—	4	1	no	—
263	C₂²×C₄	C₂×D₄×C₁₃₉	1	1	yes	characteristic
264	Q₁₆	—	2	1	no	—
265	Q₁₆	C₂²⋊C₄×C₁₃₉	1	2	yes	complemented
266	SD₁₆	—	2	2	no	—
267	SD₁₆	—	2	2	no	—
268	D₈	—	2	2	no	—
269	D₈	—	2	1	no	—
270	D₈	—	2	2	no	—
271	D₈	—	4	1	no	—
272	D₈	—	4	1	no	—
273	D₈	C₂²⋊C₄×C₁₃₉	1	2	yes	complemented
274	M₁₆	—	2	2	no	—
275	M₁₆	—	4	4	no	—
276	M₁₆	—	4	1	no	—
277	C₂×C₈	—	2	1	no	—
278	C₂×C₈	—	2	1	no	—
279	C₂×C₈	—	4	4	no	—
280	C₂×C₈	—	4	1	no	—
281	C₂×C₈	D₈×C₁₃₉	1	2	yes	—
282	C₂×C₈	C₂²×C₄×C₁₃₉	1	1	yes	characteristic
283	C₂×C₈	C₂×D₄×C₁₃₉	1	1	yes	characteristic
284	C₂×C₈	C₂×D₄×C₁₃₉	1	1	yes	characteristic
285	C₂×C₈	C₂×D₄×C₁₃₉	1	1	yes	characteristic
286	C₂×C₈	#41×C₁₃₉	1	1	yes	characteristic
287	C₂×C₈	#41×C₁₃₉	1	1	yes	characteristic
288	C₄⋊C₄	—	4	1	no	—
289	C₄⋊C₄	—	4	1	no	—
290	C₂²⋊C₄	—	8	4	no	—
291	C₄²	—	2	1	no	—
292	C₄²	—	2	1	no	—
293	C₁₆	—	2	2	no	—
294	C₁₆	—	4	1	no	—
295	C₂³	—	4	1	no	—
296	C₂³	—	4	2	no	—
297	C₂³	—	8	2	no	—
298	C₂³	—	8	2	no	—
299	C₂³	—	8	1	no	—
300	C₂³	—	8	1	no	—
301	C₂³	AGL(1,ℤ/8)×C₁₃₉	1	1	yes	characteristic
302	Q₈	—	2	2	no	—
303	Q₈	—	4	1	no	—
304	D₄	—	2	2	no	—
305	D₄	—	4	2	no	—
306	D₄	—	4	2	no	—
307	D₄	—	4	1	no	—
308	D₄	—	4	2	no	—
309	D₄	—	4	2	no	—
310	D₄	—	8	1	no	—
311	D₄	—	8	1	no	—
312	C₂×C₄	—	4	1	no	—
313	C₂×C₄	—	4	2	no	—
314	C₂×C₄	—	4	2	no	—
315	C₂×C₄	—	4	2	no	—
316	C₂×C₄	—	4	1	no	—
317	C₂×C₄	—	8	2	no	—
318	C₂×C₄	—	8	1	no	—
319	C₂×C₄	C₄×D₄×C₁₃₉	1	1	yes	characteristic
320	C₂×C₄	#120×C₁₃₉	1	1	yes	characteristic
321	C₂×C₄	#121×C₁₃₉	1	1	yes	characteristic
322	C₂×C₄	C₂×D₈×C₁₃₉	1	1	yes	characteristic
323	C₂×C₄	#135×C₁₃₉	1	1	yes	characteristic
324	C₂×C₄	AGL(1,ℤ/8)×C₁₃₉	1	1	yes	characteristic
325	C₈	—	2	2	no	—
326	C₈	—	4	2	no	—
327	C₈	C₂×C₂²⋊C₄×C₁₃₉	1	1	yes	characteristic
328	C₈	C₄×D₄×C₁₃₉	1	1	yes	characteristic
329	C₈	#121×C₁₃₉	1	1	yes	characteristic
330	C₈	#123×C₁₃₉	1	1	yes	characteristic
331	C₂²	—	2	2	no	—
332	C₂²	—	4	2	no	—
333	C₂²	—	8	2	no	—
334	C₂²	—	8	2	no	—
335	C₂²	—	8	4	no	—
336	C₂²	—	16	2	no	—
337	C₂²	—	16	1	no	—
338	C₂²	—	16	1	no	—
339	C₂²	#442×C₁₃₉	1	1	yes	characteristic
340	C₂²	#449×C₁₃₉	1	1	yes	characteristic
341	C₂²	#459×C₁₃₉	1	1	yes	characteristic
342	C₄	—	4	2	no	—
343	C₄	—	8	1	no	—
344	C₄	—	16	1	no	—
345	C₄	#386×C₁₃₉	1	1	yes	characteristic
346	C₄	C₄×D₈×C₁₃₉	1	1	yes	characteristic
347	C₄	#447×C₁₃₉	1	1	yes	characteristic
348	C₄	#463×C₁₃₉	1	1	yes	characteristic
349	C₂	—	2	1	no	—
350	C₂	—	2	1	no	—
351	C₂	—	8	2	no	—
352	C₂	—	16	2	no	—
353	C₂	#1879×C₁₃₉	1	1	yes	characteristic
354	C₂	AGL(1,ℤ/16)×C₁₃₉	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₃₉	#442
commutator	C₂×C₈	C₂²×C₄×C₁₃₉
Frattini, cosocle	C₂²×C₈	C₂³×C₁₃₉
prime radical	C₂×#509×C₁₃₉	C₂
LCS	G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃₉ ◁ C₂²×C₄×C₁₃₉ ◁ C₂×#97×C₁₃₉ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
2. C₂×#444×C₁₃₉	C₂	semidirect
3. C₂×#361×C₁₃₉	C₂	semidirect
4. C₂×#360×C₁₃₉	C₂	semidirect
5. #1972×C₁₃₉	C₂	semidirect
6. #1383×C₁₃₉	C₂	semidirect
7. #1375×C₁₃₉	C₂	semidirect
13. C₂×SD₃₂×C₁₃₉	C₄	semidirect
14. C₂×D₁₆×C₁₃₉	C₄	semidirect
87. Q₁₆×C₁₃₉	C₂²⋊C₄	semidirect
95. D₈×C₁₃₉	C₂²⋊C₄	semidirect
177. #13040	C₁₃₉	direct (N × H)
178. C₁₃₉	#13040	direct (N × H)
180. C₂×#444	C₂×C₁₃₉	semidirect
181. C₂×#361	C₂×C₁₃₉	semidirect
182. C₂×#360	C₂×C₁₃₉	semidirect
183. #1972	C₂×C₁₃₉	semidirect
184. #1383	C₂×C₁₃₉	semidirect
185. #1375	C₂×C₁₃₉	semidirect
191. C₂×SD₃₂	C₄×C₁₃₉	semidirect
192. C₂×D₁₆	C₄×C₁₃₉	semidirect
265. Q₁₆	C₂²⋊C₄×C₁₃₉	semidirect
273. D₈	C₂²⋊C₄×C₁₃₉	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×#509×C₁₃₉	2
C₂×#444×C₁₃₉	2
C₂×#361×C₁₃₉	2
C₂×#360×C₁₃₉	2
#1972×C₁₃₉	2
#1383×C₁₃₉	2
#1375×C₁₃₉	2
#13040	139

Subgroups — C139×#13040 #48007636

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#13040 #48007636